Finding the Fourth Proportional to 376,467,264,136.80, 564,700,896,205.20 and 140,884,995,823.20
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Solution
The fourth proportional to 376,467,264,136.80, 564,700,896,205.20 and 140,884,995,823.20 is: 211,327,493,734.80
Step by Step Solution
- Step 1: Write the proportion equation
376,467,264,136.80 : 564,700,896,205.20 = 140,884,995,823.20 : x - Step 2: Convert to fraction form
376,467,264,136.80/564,700,896,205.20 = 140,884,995,823.20/x - Step 3: Cross multiply
376,467,264,136.80x = 564,700,896,205.20 × 140,884,995,823.20 - Step 4: Simplify right side
376,467,264,136.80x = 79,557,883,403,226,904,002,560 - Step 5: Solve for x
x = 79,557,883,403,226,904,002,560/376,467,264,136.80 - Step 6: Final answer
x = 211,327,493,734.80
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.